The second derivative of y = ln(sec x) is а) у 1 - tan x b) y = tanx sec x c) y = secx · tan x d) y" = sec? x

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A: Prove that1. d(tan x)dx=sec2x2. d(cot x)dx=-csc2x3. d(sec x)dx=secx·tanx4. d(csc x)dx=-cotx·cscxSome…

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A: topic - derivative of a function

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A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use Part 1 of the Fundamental Theorem of Calculus tofind the derivative of the function.

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Q: Find the derivative of OA. In (tan x) y'= X OB. y' = (tan x) OC. y' = [(secx) ²] x OD. Inx y' = (tan…

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Q: Find the derivative of f(2) = sinh(2²) – 2z cos(32). Is this an analytic functio %3D

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Q: 3G)Ú) Show that the reduction formula for atanx で-u sec"x dx = Sec" 「キu ) Hence use tthe formula to…

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Q: Use first principle rule and prove that dy if y= secl tann = secx

A: To Prove: That the derivative of y=sec x is dydx=sec x·tan x. Concept used: First principle: The…

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A: Given,         sinh2x=12cosh2x-1

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Q: satisfies thé équation:y + 13y - Show that y=e Sin 3x

A: Topic = Derivative

Q: 28. The derivative of In(x sin x) is 1. 1 + cotx а. b. C. d. tan x +x - +x sinx

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Q: a) Differentiate f(x) = sin x from first principtes. %3D

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Q: dy Prove that the derivative of y = sec x is = sec x tan x by using the derivatives of sin x and/or…

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A: In this we have to find integration and derivative.

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A: The given function is fx=sinx and the given node points are x=0,π2,π,3π2,2π. Therefore the given…

Q: Compute the derivative using derivative rules. y = (cos 6x + sinx 2)1/2

A: y=(cos 6x+sinx2)12

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Q: It can be shown that the Difference Quotient (D.Q.) of f (x) = sinx is h-[sinx(cos(h) – 1) +…

A: We are provided that the Differential Quotient (D. Q.) of f(x)=sinx is h-1sinxcosh-1+cosx sinh, if…

Q: (a) Show that tan x = dx sec?x using quotient rule.

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Q: The derivative of sec(e) is tanx O 1) tan(e*") sec{e*™) O 2) tan(e**) sec(e*)x e** 3) tan(e)…

A: topic - derivative of a function

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A: Consider the given function  f(x)=lnx-cosx with initial estimate  po=1  ,        p1=1.2

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A: According to product rule of differentiation ,and according to chain rule of differentiation ,.

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A: Given function, f(x)=cos x

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Q: The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x…

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Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x Fex)…

A: Let fx=1+e-xsin 4x

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A: Here the function is of the form:

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A: Since you have asked a different question. I am answering the first one. Please post the question…

Q: Estimate tan (0.5) using the tangent line to y = tan(x) at x = π .

A: The slope of the tangent if dy/dx at x=π So the slope=1

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Q: 6. tan (9x + 5) + C 1. O B. - O A. sec2(9x + 5) Which function should be differentiated? 6. tan (9x…

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